A hyperbolic relaxation s
A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility
A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility
We introduce a new hyperbolic approximation to the incompressible Navier-Stokes equations by incorporating a first-order relaxation and using the artificial compressibility method. With two relaxation parameters in the model, we rigorously prove the asymptotic limit of the system towards the incompr…